Least to Greatest: -4 1/2, -1/2, 1/4, 2/3, 2 1/3
Answer:
C=y=sin1/2x
Step-by-step explanation:
As given in the graph:
Amplitude= 1
period=2π
Finding function of sin that have period of 4π and amplitude 1
A: y=1/2sinx
Using the formula asin(bx-c)+d to find the amplitude and period
a=1/2
b=1
c=0
d=0
Amplitude=|a|
=1/2
Period= 2π/b
=2π
B: y=sin2x
Using the formula asin(bx-c)+d to find the amplitude and period
a=1
b=2
c=0
d=0
Amplitude=|a|
=1
Period= 2π/2
=π
C: y=sin1/2x
Using the formula asin(bx-c)+d to find the amplitude and period
a=1
b=1/2
c=0
d=0
Amplitude=|a|
=1
Period= 2π/1/2
=4π
D: y=sin1/4x
Using the formula asin(bx-c)+d to find the amplitude and period
a=1
b=1/4
c=0
d=0
Amplitude=|a|
=1
Period= 2π/1/4
=8π
Hence only c: y=sin1/2x has period of 2π and amplitude 1
Answer:
y=
1
2
x;−3y=4+
1
2
x
Rewrite equations:
y=
1
2
x;−3y=
1
2
x+4
Step: Solvey=
1
2
xfor y:
y=
1
2
x
Step: Substitute
1
2
xforyin−3y=
1
2
x+4:
−3y=
1
2
x+4
−3
1
2
x=
1
2
x+4
−3
2
x=
1
2
x+4(Simplify both sides of the equation)
−3
2
x+
−1
2
x=
1
2
x+4+
−1
2
x(Add (-1)/2x to both sides)
−2x=4
−2x
−2
=
4
−2
(Divide both sides by -2)
x=−2
Step: Substitute−2forxiny=
1
2
x:
y=
1
2
x
y=
1
2
(−2)
y=−1(Simplify both sides of the equation)
Answer:
x=−2 and y=−1
Step-by-step explanation:
Sorry if it is too confusing
Answer:
-12f
Step-by-step explanation:
